31813964 has 48 divisors (see below), whose sum is σ = 69543936. Its totient is φ = 12398400.

The previous prime is 31813949. The next prime is 31813973. The reversal of 31813964 is 46931813.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25229 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (1448832).

Almost surely, 2^31813964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31813964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34771968).

31813964 is an abundant number, since it is smaller than the sum of its proper divisors (37729972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31813964 is a wasteful number, since it uses less digits than its factorization.

31813964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 31813964 is about 5640.3868661644. The cubic root of 31813964 is about 316.8637773129.

The spelling of 31813964 in words is "thirty-one million, eight hundred thirteen thousand, nine hundred sixty-four".